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Bicocycle double cross constructions.
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- Journal of Algebra & Its Applications, 2023, v. 22, n. 12, p. 1, doi. 10.1142/S0219498823502547
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- Article
Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit.
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- Reviews in Mathematical Physics, 2023, v. 35, n. 7, p. 1, doi. 10.1142/S0129055X23300042
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Relativistic formulation of curl force, relativistic Kapitza equation and trapping.
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- Nonlinear Dynamics, 2023, v. 111, n. 11, p. 9863, doi. 10.1007/s11071-023-08385-y
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3D-flows generated by the curl of a vector potential & Maurer-Cartan equations.
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- Turkish Journal of Mathematics, 2022, v. 46, n. 8, p. 3234, doi. 10.55730/1300-0098.3330
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On a geometric description of time-dependent singular Lagrangians with applications to biological systems.
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- International Journal of Geometric Methods in Modern Physics, 2022, v. 19, n. 11, p. 1, doi. 10.1142/S021988782250181X
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Relativistic formulation of noncentral curl force and relativistic Emden–Fowler type equations.
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- Acta Mechanica, 2022, v. 233, n. 9, p. 3591, doi. 10.1007/s00707-022-03285-5
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- Article
Application of regularization maps to quantum mechanical systems in two and three dimensions.
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- Modern Physics Letters A, 2022, v. 37, n. 7, p. 1, doi. 10.1142/S0217732322500432
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Integrable modulation, curl forces and parametric Kapitza equation with trapping and escaping.
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- Nonlinear Dynamics, 2021, v. 106, n. 4, p. 3091, doi. 10.1007/s11071-021-06947-6
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Generalized Emden–Fowler equations related to constant curvature surfaces and noncentral curl forces.
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- Acta Mechanica, 2021, v. 232, n. 9, p. 3381, doi. 10.1007/s00707-021-02998-3
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A two-parameter entropy and its fundamental properties.
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- Reviews in Mathematical Physics, 2021, v. 33, n. 04, p. N.PAG, doi. 10.1142/S0129055X2130003X
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Higher-order saddle potentials, nonlinear curl forces, trapping and dynamics.
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- Nonlinear Dynamics, 2021, v. 103, n. 3, p. 2257, doi. 10.1007/s11071-021-06212-w
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- Article
Impact of COVID-19 pandemic on assisted reproductive technology treatment for infertile patients in India - An opinion.
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- Journal of Reproductive Healthcare & Medicine, 2021, v. 2, p. 126, doi. 10.25259/JRHM_35_2020
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- Article
On Coupled Delayed Van der Pol-Duffing Oscillators.
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- Journal of Applied Nonlinear Dynamics, 2020, v. 9, n. 4, p. 567, doi. 10.5890/JAND.2020.12.004
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- Article
Curl forces and their role in optics and ion trapping.
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- European Physical Journal D (EPJ D), 2020, v. 74, n. 5, p. 1, doi. 10.1140/epjd/e2020-100462-6
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On the quest for generalized Hamiltonian descriptions of 3D-flows generated by the curl of a vector potential.
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- International Journal of Geometric Methods in Modern Physics, 2020, v. 17, n. 3, p. N.PAG, doi. 10.1142/S0219887820500425
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Generalized Emden–Fowler equations in noncentral curl forces and first integrals.
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- Acta Mechanica, 2020, v. 231, n. 2, p. 815, doi. 10.1007/s00707-019-02602-9
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Analysis and comparative study of non-holonomic and quasi-integrable deformations of the nonlinear Schrödinger equation.
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- Nonlinear Dynamics, 2020, v. 99, n. 2, p. 1179, doi. 10.1007/s11071-019-05345-3
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Branched Hamiltonians and time translation symmetry breaking in equations of the Liénard type.
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- Modern Physics Letters A, 2019, v. 34, n. 32, p. N.PAG, doi. 10.1142/S0217732319502638
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Nonlocal transformations of the generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems.
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- International Journal of Geometric Methods in Modern Physics, 2019, v. 16, n. 7, p. N.PAG, doi. 10.1142/S021988781950107X
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- Article
Hamiltonian description of nonlinear curl forces from cofactor systems.
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- Acta Mechanica, 2019, v. 230, n. 6, p. 2267, doi. 10.1007/s00707-019-02394-y
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- Article
Sharma–Mittal quantum discord.
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- Quantum Information Processing, 2019, v. 18, n. 6, p. N.PAG, doi. 10.1007/s11128-019-2289-3
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Hierarchies and Hamiltonian structures of the Nonlinear Schrödinger family using geometric and spectral techniques.
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- Discrete & Continuous Dynamical Systems - Series B, 2019, v. 24, n. 4, p. 1677, doi. 10.3934/dcdsb.2018287
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A note on generalization of the Ermakov–Lewis invariant and its demystification.
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- Modern Physics Letters A, 2019, v. 34, n. 3, p. N.PAG, doi. 10.1142/S0217732319500214
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Nonstandard Hamiltonian structures of the Liénard equation and contact geometry.
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- International Journal of Geometric Methods in Modern Physics, 2019, v. 16, p. N.PAG, doi. 10.1142/S0219887819400012
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ON THE GEOMETRY OF THE SCHMIDT-LEGENDRE TRANSFORMATION.
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- Journal of Geometric Mechanics, 2018, v. 10, n. 3, p. 251, doi. 10.3934/jgm.2018010
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JACOBI-MAUPERTUIS METRIC OF LIÉNARD TYPE EQUATIONS AND JACOBI LAST MULTIPLIER.
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- Electronic Journal of Differential Equations, 2018, v. 2018, n. 101-157, p. 1
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Geometrical formulation of relativistic mechanics.
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- International Journal of Geometric Methods in Modern Physics, 2018, v. 15, n. 4, p. 1, doi. 10.1142/S0219887818500627
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Inhomogeneous Heisenberg spin chain and quantum vortex filament as non-holonomically deformed NLS systems.
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- European Physical Journal B: Condensed Matter, 2018, v. 91, n. 3, p. 1, doi. 10.1140/epjb/e2018-80542-x
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- Article
Bäcklund Transformation and Quasi-Integrable Deformation of Mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models.
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- Interdisciplinary Journal of Discontinuity, Nonlinearity & Complexity, 2018, v. 7, n. 1, p. 31, doi. 10.5890/DNC.2018.03.003
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CHIELLINI INTEGRABILITY CONDITION, PLANAR ISOCHRONOUS SYSTEMS AND HAMILTONIAN STRUCTURES OF LIÉNARD EQUATION.
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- Discrete & Continuous Dynamical Systems - Series B, 2017, v. 22, n. 6, p. 2465, doi. 10.3934/dcdsb.2017126
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Jacobi-Maupertuis metric and Kepler equation.
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- International Journal of Geometric Methods in Modern Physics, 2017, v. 14, n. 7, p. -1, doi. 10.1142/S0219887817300021
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Noetherian symmetries of noncentral forces with drag term.
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- International Journal of Geometric Methods in Modern Physics, 2017, v. 14, n. 2, p. -1, doi. 10.1142/S0219887817500189
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- Article
Schwarzschild instanton in emergent gravity.
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- International Journal of Geometric Methods in Modern Physics, 2017, v. 14, n. 1, p. 1, doi. 10.1142/S0219887817500062
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ON INTEGRALS, HAMILTONIAN AND METRIPLECTIC FORMULATIONS OF POLYNOMIAL SYSTEMS IN 3D.
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- Theoretical & Applied Mechanics, 2017, v. 44, n. 1, p. 15, doi. 10.2298/TAM161118001E
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Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2016, v. 26, n. 13, p. -1, doi. 10.1142/S0218127416502151
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Bianchi-IX, Darboux-Halphen and Chazy-Ramanujan.
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- International Journal of Geometric Methods in Modern Physics, 2016, v. 13, n. 4, p. -1, doi. 10.1142/S0219887816500420
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Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties.
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- Journal of Nonlinear Mathematical Physics, 2016, v. 23, n. 1, p. 47, doi. 10.1080/14029251.2016.1135642
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Nonholonomic deformation of coupled and supersymmetric KdV equations and Euler-Poincaré-Suslov method.
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- Reviews in Mathematical Physics, 2015, v. 27, n. 4, p. -1, doi. 10.1142/S0129055X15500117
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Generalized virial theorem for the Liénard-type systems.
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- Pramana: Journal of Physics, 2015, v. 84, n. 3, p. 373, doi. 10.1007/s12043-014-0925-0
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QUANTAM LÍENARD II EQUATION AND JACOBI'S LAST MULTIPLIER.
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- Surveys in Mathematics & its Applications, 2015, v. 10, p. 1
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MICZ-Kepler systems in noncommutative space and duality of force laws.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2014, v. 29, n. 32, p. -1, doi. 10.1142/S0217751X14501875
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Singular Lagrangian, Hamiltonization and Jacobi last multiplier for certain biological systems.
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- European Physical Journal: Special Topics, 2013, v. 222, n. 3/4, p. 615, doi. 10.1140/epjst/e2013-01867-2
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THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS.
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- Reviews in Mathematical Physics, 2013, v. 25, n. 6, p. -1, doi. 10.1142/S0129055X13300094
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COMMENTS ON THE STRUCTURAL FEATURES OF THE PAIS-UHLENBECK OSCILLATOR.
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- Modern Physics Letters A, 2013, v. 28, n. 14, p. -1, doi. 10.1142/S0217732313750011
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A Lagrangian description of the higher-order Painlevé equations.
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- Computational Mathematics & Mathematical Physics, 2012, v. 52, n. 5, p. 746, doi. 10.1134/S0965542512050089
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Hamiltonization of Higher-Order Nonlinear Ordinary Differential Equations and the Jacobi Last Multiplier.
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- Acta Applicandae Mathematicae, 2011, v. 116, n. 2, p. 179, doi. 10.1007/s10440-011-9637-3
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The role of the Jacobi last multiplier and isochronous systems.
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- Pramana: Journal of Physics, 2011, v. 77, n. 5, p. 917, doi. 10.1007/s12043-011-0182-4
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- Article
ON PLANAR AND NON-PLANAR ISOCHRONOUS SYSTEMS AND POISSON STRUCTURES.
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- International Journal of Geometric Methods in Modern Physics, 2010, v. 7, n. 7, p. 1115, doi. 10.1142/S0219887810004750
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- Article
EULER–POINCARÉ FLOWS ON THE LOOP BOTT–VIRASORO GROUP AND SPACE OF TENSOR DENSITIES AND (2 + 1)-DIMENSIONAL INTEGRABLE SYSTEMS.
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- Reviews in Mathematical Physics, 2010, v. 22, n. 5, p. 485, doi. 10.1142/S0129055X10003989
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Virasoro Action on Pseudo-Differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems.
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- Acta Applicandae Mathematicae, 2009, v. 108, n. 2, p. 215, doi. 10.1007/s10440-008-9310-7
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- Article